Math 297 Fall 2007
Tentative Schedule for Unit 1
Day/Date
1
Mon.
8/20
2
Wed.
8/22
3
Fri.
8/24
4
Mon.
8/27
Topics
Introduce course, policies, etc.
Euclidean vs. Non-Euclidean
Geometry, Making definitions
Define straight line. Define
distance. Non-Euclidean
geometry on plane (taxicab
geometry) and sphere
What is an angle? How is an
angle measured?
Assignment
Read Packet pp. 3-6. Find the Assignment on WebCT
and email responses to the instructor to
hathomps@iastate.edu - Subject: Math 297
Read first paragraph of Packet p 7 and be ready to do it.
Packet: p 31-2 #S3, S4, S5, p. 29 #L4,
Assignment day 2 on WebCT Gold
Packet p 61-62, What is a
triangle?
Using your definition, finish answers A-K in Exp 11.2 pp.
7-8
Email me with your definition. Check WebCT Gold
Assignment Day 4
Fill in comparison chart 1. For each defn on the handout
in class, decide that that defn produces the same set of
triangles as Large, Half-surface, Shortest-side or Convex
(say which one) or (if it gives a different set of triangles)
answer the questions on the triangle comparison chart for
this defn. If you say a defn gives a different set of
triangles than as Large, Half-surface, shortest-side, or
convex, give examples to demonstrate that. Packet p29
#S2 WebCT Gold Assignment Day 5
Finish Packet p9-10; packet p27 #5 (Draw a triangle ABC
on your sphere and then answer #5.); p32 #L6
WebCT Gold Assignment Day 6
5
Wed.
8/29
Comparison of Triangle
Definitions & class definitions
Packet p17 (Triangle
Comparison Chart – TCC1)
6
Fri.
9/31
Mon
9/3
7
Wed.
9/5
Discuss TCC1 answers.
Triangle angle sums on
spheres (Packet p 9-10)
No Class – Labor Day
8
Fri.
9/7
9
Mon
9/10
Meet in computer lab (449
Carver)
Explore Geometer’s Sketchpad
(GSP) p92-4
SAVE ALL GSP FILES
WITH .gsp EXTENSION.
When are triangles congruent
in the plane? TCC2. Packet
p19: Is the same true on
spheres?
Discuss TCC2. Packet p19
Triangle congruence; Isosceles
Triangle Theorem (ITT)
Assignment Day 3 on WebCT Gold
SAVE ALL GSP FILES WITH .gsp EXTENSION.
Save individual files as directed by the problem.
Finish equilateral triangle, p94. packet p25 #1; p27 #1;
p29 #S3,S4,L1; p31-2 #L1,L3
WebCT Gold Assignment Day 7
Continue work on TCC2 (not last few lines) Packet p19
Packet p31-2 #S1,S2,L5
WebCT Gold Assignment Day 8
Is the ITT true on spheres?
Read Packet p11-12. Packet p25 #2,6; p27 #6,7,8; p 29
#S1,L5. Use GSP to find as many possible ways as you
can to describe the fold line:
1) Use 3 segments, draw a triangle
2) Construct 3 appropriate fold lines, all folding from
vertex A
3) Use the point labeling (finger) tool to make a window...
and type in text telling which construction is which line,
10
Wed.
9/12
Meet in computer lab (250
Carver) Complete Packet p1112. Save the 3 files with .gsp
extension to your disks and
upload on WebCT Gold
11
Fri.
9/14
12
Mon.
9/17
13
Wed.
9/19
Is ITT true on spheres?
circumcenter & centroid
TCC2 should now be complete
Quadrilaterals on the sphere
14
Fri.
9/21
Meet in computer lab (250
Carver)
Review for Exam 1
Introduce Geometry Project
EXAM #1
Meet in designated computer
lab
e.g., line parallel to k through A.
4) print this
5) drag so triangle is isosceles (AB=AC), check with
measure. What happened to fold lines?
WebCT Gold Assignment Day 9
Complete Packet p11-12 Save the 3 files with .gsp
extension to your disks and upload the files to WebCT.
Write your own GSP investigation of ITT (equal sides
implies equal angles) and/or foldlines
Packet p27 #2,3,4; p29 #L2; p32 #L2
WebCT Gold Assignment Day 10
Bring sphere to next class. Packet p 77 #1,3; p82 part2;
p86 part 2;
WebCT Gold Assignment Day 11
Packet p29 #L3; p79 #6; p34-8;
WebCT Gold Assignment Day 12
Geometry Project Due 9/27